TSTP Solution File: GEO222+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO222+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 06:23:38 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of clauses : 34 ( 16 unt; 9 nHn; 34 RR)
% Number of literals : 57 ( 0 equ; 20 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ convergent_lines(u,u),
file('GEO222+3.p',unknown),
[] ).
cnf(7,axiom,
~ unorthogonal_lines(orthogonal_through_point(u,v),u),
file('GEO222+3.p',unknown),
[] ).
cnf(9,axiom,
( unorthogonal_lines(u,v)
| convergent_lines(u,v) ),
file('GEO222+3.p',unknown),
[] ).
cnf(10,axiom,
( skP1(u,v)
| convergent_lines(v,u) ),
file('GEO222+3.p',unknown),
[] ).
cnf(11,axiom,
( skP1(u,v)
| unorthogonal_lines(v,u) ),
file('GEO222+3.p',unknown),
[] ).
cnf(14,axiom,
( parallel_lines(u,v)
| convergent_lines(u,v) ),
file('GEO222+3.p',unknown),
[] ).
cnf(16,axiom,
( orthogonal_lines(u,v)
| unorthogonal_lines(u,v) ),
file('GEO222+3.p',unknown),
[] ).
cnf(20,axiom,
~ parallel_lines(skc2,orthogonal_through_point(orthogonal_through_point(skc2,skc3),skc3)),
file('GEO222+3.p',unknown),
[] ).
cnf(25,axiom,
( ~ unorthogonal_lines(u,v)
| ~ orthogonal_lines(u,v) ),
file('GEO222+3.p',unknown),
[] ).
cnf(28,axiom,
( ~ convergent_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
file('GEO222+3.p',unknown),
[] ).
cnf(37,axiom,
( ~ convergent_lines(u,v)
| unorthogonal_lines(w,v)
| unorthogonal_lines(w,u) ),
file('GEO222+3.p',unknown),
[] ).
cnf(41,axiom,
( ~ skP1(u,v)
| ~ skP1(w,v)
| skP1(u,w) ),
file('GEO222+3.p',unknown),
[] ).
cnf(42,axiom,
( ~ unorthogonal_lines(u,v)
| ~ convergent_lines(u,v)
| ~ skP1(v,u) ),
file('GEO222+3.p',unknown),
[] ).
cnf(48,plain,
convergent_lines(skc2,orthogonal_through_point(orthogonal_through_point(skc2,skc3),skc3)),
inference(res,[status(thm),theory(equality)],[14,20]),
[iquote('0:Res:14.1,20.0')] ).
cnf(56,plain,
skP1(u,orthogonal_through_point(u,v)),
inference(res,[status(thm),theory(equality)],[11,7]),
[iquote('0:Res:11.1,7.0')] ).
cnf(59,plain,
skP1(u,u),
inference(res,[status(thm),theory(equality)],[10,3]),
[iquote('0:Res:10.1,3.0')] ).
cnf(61,plain,
convergent_lines(orthogonal_through_point(u,v),u),
inference(res,[status(thm),theory(equality)],[9,7]),
[iquote('0:Res:9.0,7.0')] ).
cnf(126,plain,
( unorthogonal_lines(u,v)
| unorthogonal_lines(u,orthogonal_through_point(v,w)) ),
inference(res,[status(thm),theory(equality)],[61,37]),
[iquote('0:Res:61.0,37.0')] ).
cnf(131,plain,
( ~ orthogonal_lines(u,orthogonal_through_point(v,w))
| unorthogonal_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[126,25]),
[iquote('0:Res:126.1,25.0')] ).
cnf(158,plain,
( convergent_lines(u,v)
| convergent_lines(orthogonal_through_point(u,w),v) ),
inference(res,[status(thm),theory(equality)],[61,28]),
[iquote('0:Res:61.0,28.0')] ).
cnf(170,plain,
convergent_lines(u,orthogonal_through_point(u,v)),
inference(res,[status(thm),theory(equality)],[158,3]),
[iquote('0:Res:158.1,3.0')] ).
cnf(186,plain,
( ~ skP1(u,orthogonal_through_point(v,w))
| skP1(v,u) ),
inference(res,[status(thm),theory(equality)],[56,41]),
[iquote('0:Res:56.0,41.0')] ).
cnf(187,plain,
( ~ skP1(u,v)
| skP1(v,u) ),
inference(res,[status(thm),theory(equality)],[59,41]),
[iquote('0:Res:59.0,41.0')] ).
cnf(190,plain,
skP1(orthogonal_through_point(u,v),u),
inference(res,[status(thm),theory(equality)],[56,187]),
[iquote('0:Res:56.0,187.0')] ).
cnf(204,plain,
( ~ convergent_lines(u,v)
| ~ skP1(v,u)
| orthogonal_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[16,42]),
[iquote('0:Res:16.1,42.0')] ).
cnf(227,plain,
skP1(u,orthogonal_through_point(orthogonal_through_point(u,v),w)),
inference(res,[status(thm),theory(equality)],[190,186]),
[iquote('0:Res:190.0,186.0')] ).
cnf(230,plain,
skP1(orthogonal_through_point(orthogonal_through_point(u,v),w),u),
inference(res,[status(thm),theory(equality)],[227,187]),
[iquote('0:Res:227.0,187.0')] ).
cnf(514,plain,
( ~ skP1(orthogonal_through_point(u,v),u)
| orthogonal_lines(u,orthogonal_through_point(u,v)) ),
inference(res,[status(thm),theory(equality)],[170,204]),
[iquote('0:Res:170.0,204.0')] ).
cnf(517,plain,
( ~ skP1(orthogonal_through_point(orthogonal_through_point(skc2,skc3),skc3),skc2)
| orthogonal_lines(skc2,orthogonal_through_point(orthogonal_through_point(skc2,skc3),skc3)) ),
inference(res,[status(thm),theory(equality)],[48,204]),
[iquote('0:Res:48.0,204.0')] ).
cnf(522,plain,
orthogonal_lines(u,orthogonal_through_point(u,v)),
inference(mrr,[status(thm)],[514,190]),
[iquote('0:MRR:514.0,190.0')] ).
cnf(524,plain,
orthogonal_lines(skc2,orthogonal_through_point(orthogonal_through_point(skc2,skc3),skc3)),
inference(mrr,[status(thm)],[517,230]),
[iquote('0:MRR:517.0,230.0')] ).
cnf(533,plain,
unorthogonal_lines(skc2,orthogonal_through_point(skc2,skc3)),
inference(res,[status(thm),theory(equality)],[524,131]),
[iquote('0:Res:524.0,131.0')] ).
cnf(535,plain,
~ orthogonal_lines(skc2,orthogonal_through_point(skc2,skc3)),
inference(res,[status(thm),theory(equality)],[533,25]),
[iquote('0:Res:533.0,25.0')] ).
cnf(536,plain,
$false,
inference(mrr,[status(thm)],[535,522]),
[iquote('0:MRR:535.0,522.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO222+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 10:53:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49
% 0.20/0.49 SPASS V 3.9
% 0.20/0.49 SPASS beiseite: Proof found.
% 0.20/0.49 % SZS status Theorem
% 0.20/0.49 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49 SPASS derived 480 clauses, backtracked 0 clauses, performed 0 splits and kept 357 clauses.
% 0.20/0.49 SPASS allocated 97968 KBytes.
% 0.20/0.49 SPASS spent 0:00:00.13 on the problem.
% 0.20/0.49 0:00:00.03 for the input.
% 0.20/0.49 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.49 0:00:00.01 for inferences.
% 0.20/0.49 0:00:00.00 for the backtracking.
% 0.20/0.49 0:00:00.04 for the reduction.
% 0.20/0.49
% 0.20/0.49
% 0.20/0.49 Here is a proof with depth 5, length 34 :
% 0.20/0.49 % SZS output start Refutation
% See solution above
% 0.20/0.49 Formulae used in the proof : apart3 ooc1 coipo1 cotno1 a3 a5 con ax6 couo1
% 0.20/0.49
%------------------------------------------------------------------------------